Answer:
The equation of the line is y = 2x - 6
Step-by-step explanation:
To find the equation of this line, we first need to find the slope. To find a slope you need two ordered pairs, which you have here. The first is (5, 4) and the second is (3, 0) - which is the x-intercept of 3. Now that we have this, we can plug into the slope equation.
m(slope) = (y2 - y1)/(x2 - x1)
m = (4 - 0)/(5 - 3)
m = 4/2
m = 2
Now that we have the slope, we can use that and either point in point-slope form. Once we do that, we solve for y to get the equation.
y - y1 = m(x - x1)
y - 4 = 2(x - 5)
y - 4 = 2x - 10
y = 2x - 6
